Re: Explanation of Solution Help

Originally Posted by petenice

Step 2 Integration result So where did the come from. I know where the came from but why are they multiplying it by

Hold on a minute. The integration result is NOT , it's .

Also, we are NOT "multiplying by ln". Do you understand what "ln" means? It is taking the natural (base e) logarithm! Now the reason they are writing it as is simply to aid in calculations, and noting that since the integration constant is ARBITRARY, and is still a constant, it is just as correct to write a logarithm constant.

Step 3 Raise all to the e

Step 4 Result is Why are they multiplying the right side by shouldnt it be like this

NO! The rules of exponentials do not work like that! What should be happening is to collect the logarithms onto one side and to simplify using logarithm laws first BEFORE exponentiating!

Now exponentiate.

The solutions given by your professor are VERY sloppy. Feel free to tell him/her that. In my opinion, you need to get the hang of trying a few steps out yourself without relying too much on following step-by-step solutions given by others. You know when a step is valid or not valid, and there's no reason to believe that when you have done all valid steps, that your answer, while it may look different to your professor's or others', is not correct.